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Work: Find the solution of equation (2500*12*0.9-70%*65*X*6.3%)/(30%*65*X*5%*65*X) = 3.8% .
Question type: Equation
Solution:Original question:| | ( | 2500 | × | 12 | × | 9 10 | − | 70 100 | × | 65 | X | × | 63 1000 | ) | ÷ | ( | 30 100 | × | 65 | X | × | 5 100 | × | 65 | X | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 30 100 | × | 65 | X | × | 5 100 | × | 65 | X | ) |
| | ( | 2500 | × | 12 | × | 9 10 | − | 70 100 | × | 65 | X | × | 63 1000 | ) | = | 19 500 | ( | 30 100 | × | 65 | X | × | 5 100 | × | 65 | X | ) |
Remove a bracket on the left of the equation::
| | 2500 | × | 12 | × | 9 10 | − | 70 100 | × | 65 | X | × | 63 1000 | = | 19 500 | ( | 30 100 | × | 65 | X | × | 5 100 | × | 65 | X | ) |
Remove a bracket on the right of the equation::
| | 2500 | × | 12 | × | 9 10 | − | 70 100 | × | 65 | X | × | 63 1000 | = | 19 500 | × | 30 100 | × | 65 | X | × | 5 100 | × | 65 | X |
The equation is reduced to :
| | 27000 | − | 5733 2000 | X | = | 9633 4000 | X | X |
After the equation is converted into a general formula, there is a common factor:
( √9999X - √110850262 )
From
√9999X - √110850262 = 0
it is concluded that::
Solutions that cannot be obtained by factorization:
X2≈-106.480999 , keep 6 decimal places
There are 2 solution(s).
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